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JEE Mains · Physics · STD 12 - Dual nature of radiation and matter
  • JEE Mains 2024
  • Hard
  • MCQ

Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). \(Assertion\) \(A\) : Number of photons increases with increase in frequency of light. \(Reason\) \(R\) : Maximum kinetic energy of emitted electrons increases with the frequency of incident radiation. In the light of the above statements, choose the most appropriate answer from the options given below :

Pick an option to check your answer.
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Answer & Solution

Correct Answer

(D) A is not correct but \(R\) is correct.

Step-by-step Solution

Detailed explanation

Intensity of light \(\mathrm{I}=\frac{\mathrm{nh} \nu}{\mathrm{A}}\)

Here \(\mathrm{n}\) is no. of photons per unit time.

\(\mathrm{n}=\frac{\mathrm{IA}}{\mathrm{h} v}\) so on increasing frequency \(v, \mathrm{n}\) decreases taking intensity constant.

\(\mathrm{k}_{\max }=\mathrm{h} v-\phi\)

So on increasing \(v\), kinetic energy increases.

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